225141120 has 320 divisors, whose sum is σ = 830863440. Its totient is φ = 58060800.

The previous prime is 225141113. The next prime is 225141157. The reversal of 225141120 is 21141522.

225141120 is a `hidden beast` number, since 2 + 251 + 411 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225141093 and 225141102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2229070 + ... + 2229170.

Almost surely, 2^225141120 is an apocalyptic number.

225141120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415431720).

225141120 is an abundant number, since it is smaller than the sum of its proper divisors (605722320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225141120 is a wasteful number, since it uses less digits than its factorization.

225141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 225141120 is about 15004.7032626440. The cubic root of 225141120 is about 608.3473315517.

Adding to 225141120 its reverse (21141522), we get a palindrome (246282642).

The spelling of 225141120 in words is "two hundred twenty-five million, one hundred forty-one thousand, one hundred twenty".